超椭圆分量的长度谱

IF 2.5 1区 数学 Q1 MATHEMATICS
Corentin Boissy, Erwan Lanneau
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引用次数: 0

摘要

我们提出了一个研究平移曲面上的伪anosov同胚的一般框架。这种新方法,除其他结果外,使我们能够计算限于阿贝尔微分地层的超椭圆连接分量的teichm测地线流的收缩,解决了[Far06]的问题;这是对除属二和属三以外的任何地层的任何成分的收缩的第一次描述。我们强调,所有的证明和计算都可以在没有计算机帮助的情况下完成。作为一个副产品,我们的方法给出了一种描述超椭圆成分的长度光谱底部的方法,我们提供了一个小属的图像。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Lengths spectrum of hyperelliptic components
We propose a general framework for studying pseudo-Anosov homeomorphisms on translation surfaces. This new approach, among other consequences, allows us to compute the systole of the Teichmüller geodesic flow restricted to the hyperelliptic connected components of the strata of Abelian differentials, settling a question of [Far06]; This is the first description of the systole in any component of any stratum outside of genus two and three. We stress that all proofs and computations can be performed without the help of a computer. As a byproduct, our methods give a way to describe the bottom of the lengths spectrum of the hyperelliptic components and we provide a picture of that for small genera.
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来源期刊
CiteScore
4.50
自引率
0.00%
发文量
103
审稿时长
6-12 weeks
期刊介绍: The Journal of the European Mathematical Society (JEMS) is the official journal of the EMS. The Society, founded in 1990, works at promoting joint scientific efforts between the many different structures that characterize European mathematics. JEMS will publish research articles in all active areas of pure and applied mathematics. These will be selected by a distinguished, international board of editors for their outstanding quality and interest, according to the highest international standards. Occasionally, substantial survey papers on topics of exceptional interest will also be published. Starting in 1999, the Journal was published by Springer-Verlag until the end of 2003. Since 2004 it is published by the EMS Publishing House. The first Editor-in-Chief of the Journal was J. Jost, succeeded by H. Brezis in 2004. The Journal of the European Mathematical Society is covered in: Mathematical Reviews (MR), Current Mathematical Publications (CMP), MathSciNet, Zentralblatt für Mathematik, Zentralblatt MATH Database, Science Citation Index (SCI), Science Citation Index Expanded (SCIE), CompuMath Citation Index (CMCI), Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), ISI Alerting Services, Journal Citation Reports/Science Edition, Web of Science.
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